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 <a href="CAD_using_en.htm">See operating CAD</a>


 
<h1>CAD Lines</h1>

Lines use the identification letter L ("Line").


See also: <a href="CAD_Base_en.htm#L">line codes</a>
See also: <a href="CAD_Base_en.htm#fmt_dynamic-obj">dynamic lines</a>






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  <h2>LN PT  PT</h2>
Line between 2 <a href="CAD_input_en.htm#_PT_">points</a>

  Startpt           <a href="CAD_input_de.htm#_PT_">Startpoint</a> of the line
  Endpt             <a href="CAD_input_de.htm#_PT_">Endpoinoint</a> of the line
  [unlimited]       <a href="CAD_input_en.htm#_ModUNL_">limited / unlimited</a>

Example:
L1 = P1 P(100 100)
 
 
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  <h2>LN parallel</h2>
Line parallel to a line / vector, through a point.
 For the point can be defined a X-Offset, Y-Offset and Z-Offset.

  Direction         direction of the line as <a href="CAD_input_en.htm#_Vec_">vector</a>
  [BasePoint]       a <a href="CAD_input_en.htm#_PT_">point</a> on the line
  [Length]          length, optional.
  [X-offset]        <a href="CAD_input_en.htm#_DistX_">X-offset</a> from BasePoint
  [Y-offset]
  [Z-offset]
  [unlimited]       <a href="CAD_input_en.htm#_ModUNL_">limited / unlimited</a>


Example:
# parallel to X-axis, with Y-offset:
L2=DX Y(10) 
 
 
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  <h2>LN PT Direct. [Length,Rot.Angle,TiltAngle]</h2>

Line through point, parallel to vector / line;
  rotated in the constructionplane or tilted.

  Point             a <a href="CAD_input_en.htm#_PT_">point</a> on the line
  Direction         direction of the line as <a href="CAD_input_en.htm#_Vec_">vector</a>
  [Length]          length, optional.
  [Angle-Rot.]      <a href="CAD_Base_en.htm#ANGR">Rotation angle</a> in the constructionplane
  [Angle-Tilt]      <a href="CAD_Base_en.htm#ANGT">Tilt angle</a> normal to the constructionplane
  [unlimited]       <a href="CAD_input_en.htm#_ModUNL_">limited / unlimited</a>



Examples:
# Line from point with a fixed angle
L3=P1 ANG(45)

# Parallel to line L1 through P1
L4= P1 D(L1)

# Line from point with angle relative to the other line.
L4=P1 D(L1) ANG(90) 


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<a name="F3"></a>
  <h2>LN LN Dist.          (parall)</h2>
Line parallel to line spacing.

  parall to Line   baseline (direction)
  Dist.            Normal distance of line from baseline
  [Position]       no value: left; <a href="CAD_input_en.htm#_Mod1--_">Versionnumber</a>
                   1, 2 lateral left / right; 3, 4 top / bottom

Examples:
# parallel to L10, distance 10, above:
L8=L10 VAL(10) MOD(3) 
 
 
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  <h2>LN LN LN [Rotate Tilt] (mid)</h2>
Line as a midline of two lines (a bisection line through the intersectionpoint).
  Can be rotated and tilted.

  Line 1 
  Line 2 
  [Angle-Rot.]      <a href="CAD_Base_en.htm#ANGR">Rotation angle</a> in the constructionplane
  [Angle-Tilt]      <a href="CAD_Base_en.htm#ANGT">Tilt angle</a> normal to the constructionplane

 
Examples:
L26=L23 L24                  # angle bisector, from intersectionpoint
L27=L23 L24 ANG(90)          # angle bisector, additionally rotated

 
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 <a name="F5"></a>
 <h2>LN tangent to 2 objs",            "TNG"</h2>
Create a tangential line between 2 curve-objects.
Inputelements can be: points, circles, curves.

- get the tangential line from:
  - select curve and point on that curve for a tangent or
  - select vector or line (define the direction) and a curve or
  - select two curves (eg 2 circles)

  object 1
  object 2
  [solutionNr]      <a href="CAD_input_en.htm#_Mod1--_">solution-nr</a>
  [REVers]          fwd / bwd (key Pageup / Page Down, see <a href="CAD_input_en.htm#_ModREV_">REV</a>)
  [unlimited]       <a href="CAD_input_en.htm#_ModUNL_">limited / unlimited</a>


If one object is a line or a vector:
 create tangent with constant direction (parallel to line/vector).

Tangent to curve through point on this curve; one solution only; select point first
Tangent from point outside curve to curve;    n solutions;       select curve first


solutionNr / object -:
<img src="doc_L_tng__.jpg" alt="versions">

Examples:
# Line tangent to a circle, parallel to the line.
L1=C1 D(L1) MOD(1)

# Line tangent to 2 circles 
L5=C1 C2 MOD(1) 
 


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